Higher Symmetries of Toda Equations
Khazret S. Nirov, Alexander V. Razumov
TL;DR
This paper explores the symmetries of non-abelian Toda equations, focusing on characteristic integrals that form a W-algebra, revealing deeper algebraic structures in these integrable systems.
Contribution
It introduces the set of characteristic integrals for non-abelian Toda equations and shows they form a W-algebra, advancing understanding of their symmetry properties.
Findings
Characteristic integrals form a W-algebra
Symmetries of non-abelian Toda equations are characterized
Deeper algebraic structures are identified in Toda systems
Abstract
The symmetries of the simplest non-abelian Toda equations are discussed. The set of characteristic integrals whose Hamiltonian counterparts form a W-algebra, is presented.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra